72040584 has 96 divisors (see below), whose sum is σ = 228592800. Its totient is φ = 18708480.

The previous prime is 72040583. The next prime is 72040601. The reversal of 72040584 is 48504027.

It is a super-2 number, since 2×72040584² = 10379691486122112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72040583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10152 + ... + 15720.

It is an arithmetic number, because the mean of its divisors is an integer number (2381175).

Almost surely, 2^72040584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72040584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114296400).

72040584 is an abundant number, since it is smaller than the sum of its proper divisors (156552216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72040584 is a wasteful number, since it uses less digits than its factorization.

72040584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 72040584 is about 8487.6724724744. The cubic root of 72040584 is about 416.0949148563.

The spelling of 72040584 in words is "seventy-two million, forty thousand, five hundred eighty-four".